11101006056 has 96 divisors (see below), whose sum is σ = 32692464000. Its totient is φ = 3131541504.

The previous prime is 11101006031. The next prime is 11101006123. The reversal of 11101006056 is 65060010111.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33160 + ... + 152648.

It is an arithmetic number, because the mean of its divisors is an integer number (340546500).

Almost surely, 2^11101006056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11101006056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16346232000).

11101006056 is an abundant number, since it is smaller than the sum of its proper divisors (21591457944).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11101006056 is a wasteful number, since it uses less digits than its factorization.

11101006056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119591 (or 119580 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 21.

Adding to 11101006056 its reverse (65060010111), we get a palindrome (76161016167).

The spelling of 11101006056 in words is "eleven billion, one hundred one million, six thousand, fifty-six".